The equations and share the solution

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The equations r=2+2sin⁡θr=2+2\sin\theta and r=2sin⁡θr=2\sin\theta share the solution θ=π\theta=\pi. Explain in one sentence why this value of θ\theta does not correspond to an intersection point of their graphs in the polar plane.

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